Generic forms of low Chow rank
Algebraic Geometry
2017-03-28 v2
Abstract
The least number of products of linear forms that may be added together to obtain a given form is the Chow rank of this form. The Chow rank of a generic form corresponds to the smallest s for which the sth secant variety of the Chow variety fills the ambient space. We show that, except for certain known exceptions, this secant variety has the expected dimension for low values of s.
Cite
@article{arxiv.1508.05546,
title = {Generic forms of low Chow rank},
author = {Douglas A. Torrance},
journal= {arXiv preprint arXiv:1508.05546},
year = {2017}
}
Comments
v2: minor changes, 11 pages